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Discretisation Errors in Landau Gauge on the Lattice

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arxiv hep-lat/9905006 v2 pith:T5OETLFN submitted 1999-05-06 hep-lat

F.D.R. Bonnet , P.O. Bowman , D.B. Leinweber , A.G. Williams , D.G. Richards This is my paper · ORCID
classification hep-lat
keywords gaugeerrorsconditionfixinglandaudiscretisationimprovedlattice
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abstract

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which ${\cal O}(a^2)$ errors are removed is presented. ${\cal O}(a^2)$ improvement of the gauge fixing condition improves comparison with continuum Landau gauge in two ways: 1) through the elimination of ${\cal O}(a^2)$ errors and 2) through a secondary effect of reducing the size of higher-order errors. These results emphasise the importance of implementing an improved gauge fixing condition.

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Cited by 2 Pith papers

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  1. Toward precise $\xi$ gauge fixing for the lattice QCD

    hep-lat 2025-09 conditional novelty 6.0 of 10

    An empirical precision-extrapolation method reproduces the ξ-dependent RI/MOM renormalization constants of quark bilinear operators on the lattice to 0.2-0.3% for ξ up to 1.

  2. Centre vortex evidence for a second finite-temperature QCD transition

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Centre vortex percolation persists through the chiral crossover in 2+1 flavour QCD and is lost near 321 MeV, suggesting a separate deconfinement transition at about 1.9 times the chiral transition temperature.

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